So it comes as a puzzle that both the ATLAS and CMS measurements of \(W/Z\)  boson production support an enhanced strangeness inside the proton, while the fixed target lepton-nuclear collision prefers a rather suppressed strangeness. Among all the standard model processes, the \(W s\)  \(\rightarrow \)  \(c\)  interactions have the utmost sensitivity to the strange (antistrange) quark PDFs inside the proton. The QCD analysis of \(W\)  production in association with a charm (anticharm) quark in the proton-proton (pp) collision at \(\sqrt{s}\)  = 7 TeV by the ATLAS Collaboration shows the ratio of strange to down sea quark, \(r_s = (s+\bar{s})/2\bar{d}\) , to be 0.96 [1]}, supporting the results obtained from the analysis of \(W/Z\)  measurements. However, the CMS Collaboration, in the analysis of the same process, \(W\)  + charm production plus \(W\) -lepton charge asymmetry [2]}, [3]}, [4]}, [5]}, reports that they have not observed the enhanced strangeness as the ATLAS Collaboration did. Instead, they observed an \(x\) -dependent and suppressed ratio \(R_s\) . Yet, in another dedicated analysis on the strange quark distribution by the Hessian error updating method [6]}, [7]}, it is reported that the CMS \(W\)  + charm quark production data [4]} enhance strangeness of CT14 PDFs families. The recently extracted CT18 PDFs series from fixed target and up-to-date collider data by the CTEQ group [9]} demonstrate that the strange quark density is enhanced over the nominal fit CT18NNLO when the inclusive \(W/Z\)  data are included. Another devoted study on the strangeness of the proton [10]}, which includes both the lepton-nucleus DIS cross section data from the NuTeV and NOMAD plus \(W\)  + charm data from the ATLAS and CMS experiments, reports a slightly enhanced strange quark PDF within uncertainties in terms of the ratio \(R_s(x, Q^2)\)  with huge uncertainties at large momentum fraction.
